We transform 193 into 200 – 7 and apply the subtraction identity with a = 200 and b = 7. Evaluating these components together gives the correct final numerical answer of 37249.
Using the identity (a – b) square = a square – 2ab + b square, find the value of (193) square
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We find the value by breaking 193 down into the expression 200 – 7. Using our identity, we assign a to be 200 and b to be 7. The square of 200 results in 40000, and the square of 7 is 49. The cross-product term to subtract is calculated as two multiplied by 200 multiplied by 7, which equals 2800. Subtracting 2800 from 40000 and adding 49 yields 37249.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/